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Maths Olympiad Sample Paper (Practice)

Maths Olympiad topic 20: Maths Olympiad mock test · Set 770 · 40 questions
TalentJR

How to solve it (Spot the topic first): Read the question and name the topic: HCF/LCM, fractions, calendar, ratio, percentage, interest, average, equation or number theory. Use that lesson’s method; write small working on rough paper. Look at the options: rule out answers that are too big, too small or the wrong kind. Check your answer by working backwards when you can.

NameDateTime takenScore ___ / 40
  1. 1.What is the simple interest on ₹4500 at 2% per year for 2 years? (a) ₹90 (b) ₹270 (c) ₹180 (d) ₹4680
  2. 2.What is the average of all the whole numbers from 43 to 71? (a) 58 (b) 57 (c) 28 (d) 14
  3. 3.What is 4/9 of 63? (a) 7 (b) 29 (c) 35 (d) 28
  4. 4.What is the smallest number of sweets that can be shared equally among 9 children or among 15 children, with none left over? (a) 45 (b) 24 (c) 90 (d) 135
  5. 5.₹5500 is invested at 12% per year simple interest. What is the amount after 3 years? (a) ₹6160 (b) ₹7480 (c) ₹8140 (d) ₹1980
  6. 6.What is the simple interest on ₹8500 at 9% per year for 2 years? (a) ₹1530 (b) ₹10030 (c) ₹2295 (d) ₹765
  7. 7.A shopkeeper buys a toy for ₹840 and sells it for ₹1092. What is his profit percent? (a) 31% (b) 30% (c) 25% (d) 35%
  8. 8.In how many years will ₹9000 earn ₹2160 simple interest at 6% per year? (a) 5 years (b) 8 years (c) 3 years (d) 4 years
  9. 9.6 workers can build a wall in 11 days. How many days will 2 workers take, working at the same speed? (a) 7 days (b) 34 days (c) 15 days (d) 33 days
  10. 10.If 8 October is a Wednesday, what day of the week is 22 October? (a) Wednesday (b) Friday (c) Thursday (d) Tuesday
  11. 11.If x/2 + 12 = 15, what is x? (a) 6 (b) 18 (c) 3 (d) 54
  12. 12.What is the value of the digit 7 in 74.296? (a) 0.07 (b) 0.7 (c) 7 (d) 70
  13. 13.2.14 + 9.4 = ? (a) 11.54 (b) 11.64 (c) 3.08 (d) 11.44
  14. 14.Two ribbons are 12 cm and 14 cm long. Both are cut into pieces of the same length with nothing left over. What is the longest each piece can be? (a) 2 cm (b) 12 cm (c) 1 cm (d) 84 cm
  15. 15.1/2 + 6/7 = ? (a) 9/7 (b) 19/14 (c) 7/9 (d) 10/7
  16. 16.Which fraction is greater: 4/5 or 1/6? (a) 1/6 (b) 4/5 (c) They are equal
  17. 17.Every pair follows the same rule: 4 : 18, 7 : 30, 8 : 34. What is 3 : ? (a) 13 (b) 14 (c) 17 (d) 15
  18. 18.What is the value of the digit 3 in 51.342? (a) 0.3 (b) 0.03 (c) 3 (d) 0.003
  19. 19.A teacher has 21 pencils and 27 erasers. She makes identical gift packs using all of them. What is the greatest number of packs she can make? (a) 21 (b) 1 (c) 6 (d) 3
  20. 20.If 9x − 15 = 39, what is x? (a) 7 (b) 54 (c) 5 (d) 6
  21. 21.If x/2 + 14 = 20, what is x? (a) 6 (b) 12 (c) 26 (d) 68
  22. 22.A rectangle has an area of 54 sq cm and a length of 9 cm. What is its width? (a) 6 cm (b) 12 cm (c) 45 cm (d) 7 cm
  23. 23.If 6 mangoes cost ₹78, how much do 8 mangoes cost? (a) ₹104 (b) ₹80 (c) ₹117 (d) ₹624
  24. 24.1.78 + 7.1 = ? (a) 8.98 (b) 8.78 (c) 2.49 (d) 8.88
  25. 25.Every pair follows the same rule: 2 : 10, 7 : 35, 8 : 40. What is 6 : ? (a) 31 (b) 30 (c) 29 (d) 14
  26. 26.What is the remainder when 53 is divided by 4? (a) 1 (b) 0 (c) 2 (d) 3
  27. 27.₹5000 is invested at 9% per year simple interest. What is the amount after 2 years? (a) ₹900 (b) ₹5450 (c) ₹6350 (d) ₹5900
  28. 28.What is 75% of 860? (a) 1290 (b) 645 (c) 215 (d) 6450
  29. 29.3.81 + 4.9 = ? (a) 8.81 (b) 8.61 (c) 4.3 (d) 8.71
  30. 30.What is 10% of 100? (a) 90 (b) 20 (c) 10 (d) 100
  31. 31.A rectangle has an area of 104 sq cm and a length of 13 cm. What is its width? (a) 91 cm (b) 8 cm (c) 9 cm (d) 16 cm
  32. 32.What is the units digit of 9^57? (a) 1 (b) 9 (c) 8 (d) 7
  33. 33.A rectangle is 8 cm long and 3 cm wide. What is its perimeter? (a) 19 cm (b) 24 cm (c) 22 cm (d) 11 cm
  34. 34.Which is the greatest: 0.684, 0.094, 0.7, 0.78? (a) 0.684 (b) 0.094 (c) 0.7 (d) 0.78
  35. 35.What is 25% of 720? (a) 1800 (b) 360 (c) 540 (d) 180
  36. 36.If 10 July is a Monday, what day of the week is 2 August? (a) Thursday (b) Wednesday (c) Friday (d) Tuesday
  37. 37.A shopkeeper buys a toy for ₹380 and sells it for ₹437. What is his profit percent? (a) 20% (b) 15% (c) 57% (d) 10%
  38. 38.A teacher has 16 pencils and 40 erasers. She makes identical gift packs using all of them. What is the greatest number of packs she can make? (a) 16 (b) 24 (c) 4 (d) 8
  39. 39.What is the units digit of 3^15? (a) 1 (b) 3 (c) 7 (d) 9
  40. 40.Two ribbons are 36 cm and 48 cm long. Both are cut into pieces of the same length with nothing left over. What is the longest each piece can be? (a) 144 cm (b) 12 cm (c) 36 cm (d) 6 cm

Answer key

  1. ₹180
  2. 57
  3. 28
  4. 45
  5. ₹7480
  6. ₹1530
  7. 30%
  8. 4 years
  9. 33 days
  10. Wednesday
  11. 6
  12. 70
  13. 11.54
  14. 2 cm
  15. 19/14
  16. 4/5
  17. 14
  18. 0.3
  19. 3
  20. 6
  21. 12
  22. 6 cm
  23. ₹104
  24. 8.88
  25. 30
  26. 1
  27. ₹5900
  28. 645
  29. 8.71
  30. 10
  31. 8 cm
  32. 9
  33. 22 cm
  34. 0.78
  35. 180
  36. Wednesday
  37. 15%
  38. 8
  39. 7
  40. 12 cm

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